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Finding the Fourth Proportional to 250,524, 345,904.56 and 161,255.52

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Solution

The fourth proportional to 250,524, 345,904.56 and 161,255.52 is: 222,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,524 : 345,904.56 = 161,255.52 : x
  2. Step 2: Convert to fraction form
    250,524/345,904.56 = 161,255.52/x
  3. Step 3: Cross multiply
    250,524x = 345,904.56 × 161,255.52
  4. Step 4: Simplify right side
    250,524x = 55,779,019,693.17
  5. Step 5: Solve for x
    x = 55,779,019,693.17/250,524
  6. Step 6: Final answer
    x = 222,649.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.